Quote:
Originally Posted by Karthik
Interesting. I cringed when I saw the trig solution because I thought it was far messier than the Euclidean solution I had sketched out (basically the same one you've presented here). In general I find Euclidean geometry to be far more elegant than anything using trig or Cartesian geometry. I guess it's just a matter of preference.
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Cringed is too strong for my reaction, but quite similar. I'd much rather find the geometric path than the analytic geometric path; its much easier to avoid mistakes, as well.
I had actually been rather close to my solution much earlier, but failed to notice that triangle was of the isoceles clan; that was the key.